On the classical and quantum theories of the backward Compton scattering of the electromagnetic waves on the relativistic electron

Abstract

The classical theory of backward Compton scattering of electromagnetic waves on the relativistic electron bunch is suggested. It was compared basic results of quantum and classical theories of that effect. The possibility of coherent effect at the backward Compton scattering of electromagnetic waves on the short electron bunch of relativistic electrons was shown. Conditions, at which this effect takes place, was obtained